480952080 has 400 divisors, whose sum is σ = 1996372224. Its totient is φ = 104924160.

The previous prime is 480952027. The next prime is 480952091. The reversal of 480952080 is 80259084.

It is a super-3 number, since 3×480952080³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043050 + ... + 1043510.

Almost surely, 2^480952080 is an apocalyptic number.

480952080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998186112).

480952080 is an abundant number, since it is smaller than the sum of its proper divisors (1515420144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480952080 is a wasteful number, since it uses less digits than its factorization.

480952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 480952080 is about 21930.6196902869. The cubic root of 480952080 is about 783.4908623381.

The spelling of 480952080 in words is "four hundred eighty million, nine hundred fifty-two thousand, eighty".